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3 years ago

13

Ryan has nine 14 ounce bags of popcorn to repackage and sell at the school fair. a small bag holds 3 ounces. how many small bags

can he make?

1 answer:

Mice21 [21]3 years ago

3 0

14 divided by 3 you would get 4 2/3 but since all the bags have to have the same amount it should be 4

Hope this helps!

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Find the greatest solution for x+y when x^2+y^2 = 7, x^3+y^3=10

damaskus [11]

Answer:

4

Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

$g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10$

Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

4 equations:

$1=2ax+3bx^2\\1=2ay+3by^2\\x^2+y^2=7\\x^3+y^3=10$

By solving:

$a=4/9\\b=-2/27\\x+y=4$

Second mathod:

Solve for x^2+y^2 = 7, x^3+y^3=10 first:

$x=\frac{1}{2} -\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} +\frac{\sqrt{13}}{2} \\x=\frac{1}{2} +\frac{\sqrt{13}}{2} \ or \ y=\frac{1}{2} -\frac{\sqrt{13}}{2} \\x+y=-5\ or\ 1 \or\ 4$

The maximum is 4

6 0

2 years ago

4^{3x+2}=<br> 4 <br> 3x+2<br> =<br> \,\,2^{2x-4}<br> 2 <br> 2x−4

aliina [53]

Answer:

Dont know

Step-by-step explanation:

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8 0

2 years ago

Elliott is 63 inches tall, which is 9inches taller than cousin, Jackson.write and solve an addition equation to find Jackson hei

Nataly [62]

Answer:

J + 9 = 63

Jackson = 54 inches

Step-by-step explanation:

Using the variable 'J' for the height of Jackson, we know that Elliott is Jackson's height, plus an additional 9 inches. Since Elliott is 64 inches tall in total, we can add Jackson's height plus 9 to get Elliot's height:

Jackson's height + 9 inches = Elliot's height

J + 9 = 63

Subtract '9' from both sides: J + 9 - 9 = 63 - 9 or J = 54

So, Jackson is 54 inches tall.

3 0

2 years ago

Solve the following equation. Then place the correct number in the box provided. 3y + 2 ≥ 5y +8

GREYUIT [131]

Answer:

$y\leq -3$

Step-by-step explanation:

$3y+2 \geq 5y+8 \\\\3y\geq 5y+6\\\\-2y\geq 6\\\\y\leq -3$

Hope this helps!

7 0

2 years ago

Read 2 more answers

How do you graph for the function Y= -x+1

Tanzania [10]

-x = -1. Anything “X” equals to the number One. So do Y = -1 + 1.

5 0

2 years ago

Read 2 more answers